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Finding the Fourth Proportional to 807.15, 1,210.50 and 259.22

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Solution

The fourth proportional to 807.15, 1,210.50 and 259.22 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.15 : 1,210.50 = 259.22 : x
  2. Step 2: Convert to fraction form
    807.15/1,210.50 = 259.22/x
  3. Step 3: Cross multiply
    807.15x = 1,210.50 × 259.22
  4. Step 4: Simplify right side
    807.15x = 313,779.76
  5. Step 5: Solve for x
    x = 313,779.76/807.15
  6. Step 6: Final answer
    x = 388.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.